BCSSS

International Encyclopedia of Systems and Cybernetics

2nd Edition, as published by Charles François 2004 Presented by the Bertalanffy Center for the Study of Systems Science Vienna for public access.

About

The International Encyclopedia of Systems and Cybernetics was first edited and published by the system scientist Charles François in 1997. The online version that is provided here was based on the 2nd edition in 2004. It was uploaded and gifted to the center by ASC president Michael Lissack in 2019; the BCSSS purchased the rights for the re-publication of this volume in 200?. In 2018, the original editor expressed his wish to pass on the stewardship over the maintenance and further development of the encyclopedia to the Bertalanffy Center. In the future, the BCSSS seeks to further develop the encyclopedia by open collaboration within the systems sciences. Until the center has found and been able to implement an adequate technical solution for this, the static website is made accessible for the benefit of public scholarship and education.

A B C D E F G H I J K L M N O P Q R S T U V W Y Z

PERIODIC AND QUASIPERIODIC MOTION 2)

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"The combination of two independent periodic motions produces a toric attractor. A quasiperiodic orbit winds itself round the torus like cotton on a bobbin" (I. STEWART, 1989, p.45).

More than two independent periodic motions generally produce, when combined, a chaotic behavior. In J.P. ECKMANN's words, in such case the system may explore "in several occasions the same instability without periodicity" (1992, p.113)… Or possibly, periodicity is so complex and at such a long time scale that it becomes practically unobservable.

P. BERGÉ and M. DUBOIS describe the "three principal ways that may lead to chaos starting from a periodic regime:

"1. by period doubling, for which period is doubled at each bifurcation until nearing a period of infinite length;

"2. By intermittences, for which periodic states slowly destabilize until there is a "puff" of turbulence;

"3. by quasi-periodicity, for which the nonlinear interaction of 2 (or 3) oscillators leads to chaotic behavior" (1992, p.128).

→ Quasi-periodic

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  • 1) General information
  • 2) Methodology or model
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Bertalanffy Center for the Study of Systems Science(2020).

To cite this page, please use the following information:

Bertalanffy Center for the Study of Systems Science (2020). Title of the entry. In Charles François (Ed.), International Encyclopedia of Systems and Cybernetics (2). Retrieved from www.systemspedia.org/[full/url]

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